Finding the Fourth Proportional to 2,055.63, 3,082.96 and 822.71

Step by Step Solution

1. Step 1: Write the proportion equation
   2,055.63 : 3,082.96 = 822.71 : x
2. Step 2: Convert to fraction form
   2,055.63/3,082.96 = 822.71/x
3. Step 3: Cross multiply
   2,055.63x = 3,082.96 × 822.71
4. Step 4: Simplify right side
   2,055.63x = 2,536,366.61
5. Step 5: Solve for x
   x = 2,536,366.61/2,055.63
6. Step 6: Final answer
   x = 1,233.87